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Several math problems in the second volume of the eighth grade need a process, and only the answers are not enough.
( 1)x? -6x=-5

Solution: x? -6x+5=0

(x-5)(x- 1)=0

x 1=5,x2= 1

(2)y? +3y-2=0

Solution: (y-3/2)? =2+(3/2)?

y-3/2= √ 17/2

y= √ 17/2+3/2

y=( √ 17+3)/2

y 1=(√ 17+3)/2,y2=(-√ 17+3)/2

(3) a? =6a- 1

Solution: a? -6a+ 1=0

(a-3)? =8

a-3= 2√2

a= 2√2+3

a 1=2√2+3,a2=-2√2+3

(4)x? -4x+3=0

Solution: (x-3)(x- 1)=0.

x 1=3,x2= 1

Matching method for solving equations

x? -5=2√3x

Solution: x? -2√3x-5=0

(x-√3)? =8

x-√3= 2√2

x= 2√2+√3

x 1=2√2+√3,x2=-2√2+√3

π(r+5)? =2πr?

Solution: (r+5)? =2r?

r? + 10r+25-2r? =0

-r? + 10r+25=0

r? - 10r-25=0

(r-5)? =50

r-5 = 50%

r= √50+5

r 1=√50+5,r2=-√50+5

I hope you can adopt it. If you have any questions, you can ask.